Cherry picking

Question

19 people went cherry picking. they raised $6,770 overall. 6 people went picking 6 times, 4 people went 5 times, 2 people 4 times, 3 people 3 times, 2 people twice and 2 others twice. How can we fairly divide the funds

Answer 1

If we add up the number of people who picked a certain number of cherries, we will get a total of 19 people.  This part is taken care of.

 

If 6 people picked 6 times, the total of 6 × 6 = 36 cherries were picked in this group.

 

4 people picked 5 times.  4 × 5 = 20 cherries picked in this group.

 

2 people 4 times.  8 cherries in this group.

 

3 people 3 times. 9 cherries.

 

2 people 2 times and another 2 people 2 times.  This gives a total of 8 cherries.

 

 

Now we add the number of cherries. 

 

Divide the total funds by the total number of cherries picked.  This will give the amount each person gets per cherry pick.  If the quotient has a remainder of ZERO, then the funds can be divided fairly.

Answer 2

How many "picks" were done?

6 · 6 = 36

4 · 5 = 20

2 · 4 = 8

3 · 3 = 9

2 · 2 = 4

2 · 2 = 4

 

81 picks were done

 

Each pick raised $6770 / 81 or $83.58

Multiply this amount by the number of picks each person did.